geerky42 3 years ago If $$\dfrac{x+2}{x(x-4)} = \dfrac{\text{A}}{x} + \dfrac{\text{B}}{x - 4}$$, find $$\text{A+B}$$

1. geerky42

@Hero @cwrw238

2. anonymous

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3. geerky42

4. anonymous

It means I chose one coefficient and multiplied to the denuminator of that and then I put the root on both sides.

5. anonymous

For example for finding out A I chose x in the denuminator then multiplied to x and then put x=0 to both sides and got A. For B is the same way.

6. anonymous

Is it clearfied?

7. zepdrix

@geerky42 This is an exercise in partial fractions. Do you remember how to do those?

8. geerky42

Sorry, I still don't get it. I mean, why does it work?

9. anonymous

yea was gonna ask if it was a calculas problem

10. geerky42

Partial fractions? Sorry, don't ring any bells.

11. geerky42

So I have to use calculus to solve this problem?

12. anonymous

actually nah just cal u have to use thsi to get integral